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Finding the Fourth Proportional to 6,806.74, 10,203 and 4,615.60

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Solution

The fourth proportional to 6,806.74, 10,203 and 4,615.60 is: 6,918.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,806.74 : 10,203 = 4,615.60 : x
  2. Step 2: Convert to fraction form
    6,806.74/10,203 = 4,615.60/x
  3. Step 3: Cross multiply
    6,806.74x = 10,203 × 4,615.60
  4. Step 4: Simplify right side
    6,806.74x = 47,092,966.80
  5. Step 5: Solve for x
    x = 47,092,966.80/6,806.74
  6. Step 6: Final answer
    x = 6,918.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.